The diameter of a circular cylindrical holding tank can be modeled by the function, d=2\/a/pie , where A is the surface area of the circular base of the tank. If the surface area of the base is 64pie square feet, what is the diameter of the tank?

Question

The diameter of a circular cylindrical holding tank can be modeled by the function, d=2\/a/pie  , where A is the surface area of the circular base of the tank. If the surface area of the base is 64pie square feet, what is the diameter of the tank?

anonymous · Answer

$$d=2\sqrt{\frac{ a }{ \eta }}$$

anonymous · Answer

@eric_d

anonymous · Answer

Do you know the formula for the area of a circle?

anonymous · Answer

A=πr2

anonymous · Answer

$$A=\eta r^2$$

anonymous · Answer

So we need the radius to determine the area.

anonymous · Answer

So radius equals what in diameter?

anonymous · Answer

Im confused a bit

eric_d · Answer

|dw:1421463922756:dw||dw:1421463972445:dw|
\(diameter/2 =

eric_d · Answer

* $DIAMETER/2=radius$

anonymous · Answer

I am sorry I mis read the question. All you need to do is to plug the surface area of 64 into the equation and solve for d.

anonymous · Answer

So 64pie/2?

anonymous · Answer

$$d=2\ \sqrt{\frac{ 64 }{ \pi }}$$

anonymous · Answer

16feet

anonymous · Answer

I don't have a calculator so I assume your correct